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Finding the Fourth Proportional to 65,266.80, 97,903.92 and 18,516

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Solution

The fourth proportional to 65,266.80, 97,903.92 and 18,516 is: 27,775.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,266.80 : 97,903.92 = 18,516 : x
  2. Step 2: Convert to fraction form
    65,266.80/97,903.92 = 18,516/x
  3. Step 3: Cross multiply
    65,266.80x = 97,903.92 × 18,516
  4. Step 4: Simplify right side
    65,266.80x = 1,812,788,982.72
  5. Step 5: Solve for x
    x = 1,812,788,982.72/65,266.80
  6. Step 6: Final answer
    x = 27,775.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.